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Finding the Third Proportional to 19,019.25 and 40,162.50

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Solution

The third proportional to 19,019.25 and 40,162.50 is: 84,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,019.25 : 40,162.50 = 40,162.50 : x
  2. Step 2: Convert to fraction form
    19,019.25/40,162.50 = 40,162.50/x
  3. Step 3: Cross multiply
    19,019.25x = 40,162.50 × 40,162.50
  4. Step 4: Simplify right side
    19,019.25x = 1,613,026,406.25
  5. Step 5: Solve for x
    x = 1,613,026,406.25/19,019.25
  6. Step 6: Final answer
    x = 84,810.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.